10,824,610

2 × 5 × 173 × 6257

10,824,610 factors as 2 × 5 × 173 × 6257. Its 16 positive divisors give a proper-divisor sum of 8,775,446, so this integer is deficient. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2 × 5 × 173 × 6257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,600,056

Proper Divisor Sum 8,775,446

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #10824581 ← → #10824637

Radix Representation

Decimal	10824610
Binary	101001010010101110100010 (24 bits)
Octal	0o51225642
Hexadecimal	0xA52BA2

Divisor Catalog (16)

1 2 5 10 173 346 865 1,730 6,257 12,514 31,285 62,570 1,082,461 2,164,922 5,412,305 10,824,610

Collatz Trajectory (233 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

10,824,610 5,412,305 16,236,916 8,118,458 4,059,229 12,177,688 6,088,844 3,044,422 1,522,211 4,566,634 2,283,317 6,849,952 3,424,976 1,712,488 856,244 428,122 214,061 642,184 321,092 160,546 80,273 240,820 120,410 60,205 180,616 90,308 45,154 22,577 67,732 33,866 16,933 50,800 25,400 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687

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